68421600 has 432 divisors, whose sum is σ = 281513232. Its totient is φ = 15482880.

The previous prime is 68421559. The next prime is 68421607. The reversal of 68421600 is 612486.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68421607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1591179 + ... + 1591221.

It is an arithmetic number, because the mean of its divisors is an integer number (651651).

Almost surely, 2^68421600 is an apocalyptic number.

68421600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68421600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140756616).

68421600 is an abundant number, since it is smaller than the sum of its proper divisors (213091632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

68421600 is a wasteful number, since it uses less digits than its factorization.

68421600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 68421600 is about 8271.7350054266. The cubic root of 68421600 is about 409.0073149059.

The spelling of 68421600 in words is "sixty-eight million, four hundred twenty-one thousand, six hundred".